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Think it this way.7M = 3FTherefor M = (3/7) FNow Total Workers in the factory are = M + F = (3/7)F + F = 10F/7 So whatever be the number of Workers; The number of female workers will always be an integer value.Now lets check each option:Option A = Total Workers is 21 implies 10F/7 = 21; giving an non-integer value for FOption B = Total Workers is 37 implies 10F/7 = 37; again giving an non-integer value for FOption C = Total Workers is 110 implies 10F/7 = 110; giving an integer value of F = 77 and that leaves number of males M = 337 times number of males = 7 x 33 = 231 = 3 times number of females = 3 x 77 = 231Hence C is the only possible answer.Option D = Total Workers is 128 implies 10F/7 = 128; again giving an non-integer value for FOption E = Total Workers is 201 implies 10F/7 = 201; again giving an non-integer value for F
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